Three people, including an innocent bystander, were wounded in a shooting at a Bronx deli yesterday, police and witnesses said.

None of the injuries inflicted in the 1:45 p.m. shooting at Sun Shine Deli & Grocery at the corner of West 166th Street and Summit Avenue, was life threatening.

The shooter chased two men, ages 27 and 28, into the deli from one of the nearby housing projects and “walked up to the door and started shooting,” said witness John Gregg, 67.

“Then he backed out and went around the corner. No words,” he said. In addition to the two men, a 63-year-old woman who was a customer was also hit by gunfire. A woman pushing a baby stroller had to duck while the shooter fired over her head, said witnesses. She and the baby were not hurt.